What is the Least Common Multiple of 62884 and 62901?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 62884 and 62901 is 3955466484.
LCM(62884,62901) = 3955466484
Least Common Multiple of 62884 and 62901 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62884 and 62901, than apply into the LCM equation.
GCF(62884,62901) = 1
LCM(62884,62901) = ( 62884 × 62901) / 1
LCM(62884,62901) = 3955466484 / 1
LCM(62884,62901) = 3955466484
Least Common Multiple (LCM) of 62884 and 62901 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62884 and 62901. First we will calculate the prime factors of 62884 and 62901.
Prime Factorization of 62884
Prime factors of 62884 are 2, 79, 199. Prime factorization of 62884 in exponential form is:
62884 = 22 × 791 × 1991
Prime Factorization of 62901
Prime factors of 62901 are 3, 29, 241. Prime factorization of 62901 in exponential form is:
62901 = 32 × 291 × 2411
Now multiplying the highest exponent prime factors to calculate the LCM of 62884 and 62901.
LCM(62884,62901) = 22 × 791 × 1991 × 32 × 291 × 2411
LCM(62884,62901) = 3955466484
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